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REWIND RUN

« A number system is a way of representing numbers using specific digits or symbols.
« The decimal number system is a base-10 system that uses the digits 0–9.
« The binary number system is a base-2 system that uses only two digits: 0 and 1.

« The octal number system is a base-8 system that uses the digits 0–7.
« The hexadecimal number system is a base-16 system that uses the digits 0–9 and letters A–F
(for 10–15).
« Conversion of number systems means changing a number from one base to another, such as decimal,
binary, octal or hexadecimal.
« Binary arithmetic operations are mathematical calculations performed using binary numbers, which
consist of only 0s and 1s.

LEARNING LOGS

A. Tick ( ) the correct option.
1. Choose the digits used in the binary number system.

(i) 0 and 1 (ii) 1 to 9

(iii) 0 to 7 (iv) 0 to 15
2. Select the binary multiplication result of 101 × 110.

(i) 100111 (ii) 11110

(iii) 11011 (iv) 10101
3. Mark the value of (1111) in the decimal system.
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(i) 18 (ii) 20

(iii) 15 (iv) 28
4. Which number system uses the digits 0 to 7 only?

(i) Decimal (ii) Binary

(iii) Octal (iv) Hexadecimal
5. Mark the truth table result of 1 + 1 in binary addition.

(i) Sum = 1, Carry = 1 (ii) Sum = 0, Carry = 1

(iii) Sum = 1, Carry = 0 (iv) Sum = 0, Carry = 0

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