Binary numbers and conversion

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शिक्षकों के लिए: Binary numbers and conversion (Computer Science, Data Representation) के लिए इस्तेमाल के लिए तैयार लेसन स्लाइड्स, रिवीज़न नोट्स — इन्हें अपने लेसन में इस्तेमाल करें, या टॉपिक को एक इंटरैक्टिव क्लास एक्टिविटी की तरह चलाएं जिसे आपके शिक्षार्थी लाइव गेम की तरह खेलें।

लेसन नोट्स स्लाइड्स प्रैक्टिस सवाल

लेसन नोट्स

Why binary?

Digital circuits reliably distinguish two logic levels, represented as 0 and 1. Patterns of bits can encode numbers, text, images and sound.
The on/off switch picture is a simple model; actual logic levels correspond to defined voltage ranges.

Two logic states

Units

A bit is one binary digit; a nibble is four bits and a byte is eight.
Using decimal prefixes: kB = 1,000 bytes, MB = 1,000,000 bytes, and each larger SI prefix is a factor of 1,000. Binary prefixes KiB, MiB and GiB instead use factors of 1,024.

Place values (8-bit)

128, 64, 32, 16, 8, 4, 2, 1.

Reading unsigned 1011

Converting binary to denary

Add the place values where there is a 1. 1011 = 8 + 2 + 1 = 11. 11001010 = 128 + 64 + 8 + 2 = 202.

Converting denary to binary

Subtract place values or divide by 2. 13 = 8 + 4 + 1 = 1101. Pad with zeros to 8 bits: 00001101.

Range

n bits can store 2ⁿ different values: 8 bits → 256 (0 to 255); 16 bits → 65,536.

Patterns and unsigned range

Uses

Understanding binary is needed for storage, networking and data representation.

स्लाइड्स

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साइन अप करें — फ्री लॉग इन

प्रैक्टिस सवाल

फ्री प्रीव्यू — 34 में से 8 सवाल। सभी देखने के लिए साइन अप करें।

1.What is a bit?
Easy
- Aa binary digit
- Ba byte
- Ca number
- Da letter
2.How many bits are in a byte?
Easy
- A8
- B4
- C16
- D2
3.How many bits are in a nibble?
Easy
- A4
- B8
- C2
- D16
4.How many different values can 8 bits store?
Easy
- A256
- B255
- C128
- D8
5.What is the largest unsigned eight-bit integer?
Easy
- A255
- B256
- C128
- D127
6.What is 0101 in denary?
Easy
- A5
- B3
- C7
- D10
7.What is 1111 in denary?
Easy
- A15
- B16
- C8
- D14
8.What is unsigned binary 10000000 in denary?
Easy
- A128
- B64
- C255
- D256

और सवाल

9.What is 9 in binary (4 bits)?
Easy
- A1001
- B1100
- C0110
- D0011
10.What is 13 in binary (4 bits)?
Easy
- A1101
- B1011
- C1110
- D0111
11.What is 1 kilobyte (using 1000)?
Easy
- A1,000 bytes
- B100 bytes
- C10 bytes
- D1,000,000 bytes
12.What is 11001010 in denary?
Medium
- A202
- B203
- C198
- D172
13.What is 45 in 8-bit binary?
Medium
- A00101101
- B00101011
- C01011010
- D10110100
14.What is 200 in 8-bit binary?
Medium
- A11001000
- B11000100
- C10011000
- D11100000
15.How many values can 4 bits represent?
Medium
- A16
- B8
- C4
- D15
16.What is the largest unsigned four-bit integer?
Medium
- A15
- B16
- C8
- D7
17.Which is bigger: 1 MB or 1 GB?
Medium
- A1 GB
- B1 MB
- Cequal
- Dcannot tell
18.What is the minimum number of bits needed to represent 300 distinct values?
Medium
- A9
- B8
- C10
- D12
19.What is the denary value of 00010110?
Medium
- A22
- B24
- C18
- D26
20.Which unsigned binary number is largest?
Medium
- A11000000
- B10111111
- C01111111
- D10000000
21.If a file is 2,000,000 bytes, how many megabytes is it (using 1000)?
Medium
- A2
- B20
- C200
- D0.2
22.What is the binary for 255 in 8 bits?
Medium
- A11111111
- B11111110
- C10000000
- D01111111
23.What is the least significant bit?
Easy
- Athe rightmost bit
- Bthe leftmost bit
- Cthe middle bit
- Da parity bit
24.What is the most significant bit?
Easy
- Athe leftmost bit
- Bthe rightmost bit
- Cthe middle bit
- Da check bit
25.Using decimal prefixes, how many gigabytes make one terabyte?
Medium
- A1,000 times bigger
- B100 times bigger
- C10 times bigger
- Dthe same
26.What base does binary use?
Medium
- A2
- B10
- C16
- D8
27.Computers use binary because circuits have two states.
Easy
True or false?
28.One byte is 8 bits.
Easy
True or false?
29.Eight bits can represent every unsigned integer from 0 through 256.
Easy
True or false?
30.1011 in binary equals 11 in denary.
Easy
True or false?
31.Binary uses digits 0 to 9.
Medium
True or false?
32.Which are units of data?
Medium
- Abit
- Bnibble
- Cbyte
- Dkilobyte
- Ecentimetre
33.Which binary numbers equal 5?
Medium
- A101
- B0101
- C00000101
- D5 in base 2
- E110
34.Convert the denary number 37 to 8-bit binary, showing your working.
Medium

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