BCA Semester 1 – Digital Logic – Unit 2: Number System

Step 1 – Equalize bit lengths - Minuend = \(1010.1102\) - Subtrahend = \(101.1012\) → add leading zero to integer-part → \(0101.1012\) Thus we compute: 1010.110 – 0101.101 --- Step 2 – 2’s C

1. Definition of Positional Number System A positional number system is a system in which the value of a digit depends on its position in the number as well as the base (radix) of the system. - Exam

Step 1: Subtraction Using 9's Complement Step 1.1: Find 9’s complement of the subtrahend (321.17) - For integer part (321): 9’s complement = 999 − 321 = 678 - For fractional part (.17): 9’s compleme

Subtract: 11101.11110100.101 Step 1: Convert subtraction to addition - Let A = 11101.11110100 - Let B = 101 (assume aligned to same decimal places: 00000.10100000) We want: A − B = A + (−B)

Step 1: Convert integer and fractional part to binary Integer part: 64 64 in binary = 1000000 Fractional part: 0.35 Multiply repeatedly by 2: | Fraction | ×2 | Bit | |----------|----|-----| | 0.35

Digital Computer A digital computer is an electronic machine that processes information in binary form (0s and 1s). It performs operations such as input, processing, storage, and output using digita