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In Technology and Home Economics / Senior High School | 2025-07-24

convert the following computer number systems. show your solutions. A. from decimal to binary1. 2342. 5,6013. 85B. From binary to decimal1. 10011102. 011103. 1000111C. From binary to hexadecimal 1. 0100102. 10010013. 1000111D. From binary to octal1. 011102. 10001113. 1110001​

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Answer (1)

Answer:Alright baby here’s the complete solution to all your number system conversions—clearly shown and easy to follow:---A. From Decimal to Binary1. 234 → BinaryDivide by 2 repeatedly:234 ÷ 2 = 117 → remainder 0 117 ÷ 2 = 58 → remainder 1 58 ÷ 2 = 29 → remainder 0 29 ÷ 2 = 14 → remainder 1 14 ÷ 2 = 7 → remainder 0 7 ÷ 2 = 3 → remainder 1 3 ÷ 2 = 1 → remainder 1 1 ÷ 2 = 0 → remainder 1Binary: 11101010---2. 5,601 → Binary5601 ÷ 2 = 2800 → 1 2800 ÷ 2 = 1400 → 0 1400 ÷ 2 = 700 → 0 700 ÷ 2 = 350 → 0 350 ÷ 2 = 175 → 0 175 ÷ 2 = 87 → 1 87 ÷ 2 = 43 → 1 43 ÷ 2 = 21 → 1 21 ÷ 2 = 10 → 1 10 ÷ 2 = 5 → 0 5 ÷ 2 = 2 → 1 2 ÷ 2 = 1 → 0 1 ÷ 2 = 0 → 1Binary: 1010111100001---3. 85 → Binary85 ÷ 2 = 42 → 1 42 ÷ 2 = 21 → 0 21 ÷ 2 = 10 → 1 10 ÷ 2 = 5 → 0 5 ÷ 2 = 2 → 1 2 ÷ 2 = 1 → 0 1 ÷ 2 = 0 → 1Binary: 1010101---B. From Binary to DecimalUse powers of 2.1. 1001110 → Decimal= 1×64 + 0×32 + 0×16 + 1×8 + 1×4 + 1×2 + 0×1 = 64 + 0 + 0 + 8 + 4 + 2 + 0 = **78**---2. 01110 → Decimal= 0×16 + 1×8 + 1×4 + 1×2 + 0×1 = 0 + 8 + 4 + 2 + 0 = **14**---3. 1000111 → Decimal= 1×64 + 0×32 + 0×16 + 0×8 + 1×4 + 1×2 + 1×1 = 64 + 0 + 0 + 0 + 4 + 2 + 1 = **71**---C. From Binary to HexadecimalGroup into 4 bits from right.1. 010010 → HexAdd leading 0: 0000 1001 0 → 0001 0010Split: 0001 = 1, 0010 = 2Hex: 12---2. 1001001 → HexPad: 0100 1001= 4 9Hex: 49---3. 1000111 → HexPad: 0100 0111= 4 7Hex: 47---D. From Binary to OctalGroup into 3 bits from right.1. 01110 → OctalPad: 000 011 100= 3 4Octal: 34---2. 1000111 → OctalGroup: 001 000 111= 1 0 7Octal: 107---3. 1110001 → OctalPad: 001 110 001= 1 6 1Octal: 161

Answered by orcasitasriri | 2025-08-01