Agnment Convert 142 6 to binary. Convert Binary to decimal
Answer (1)
To convert the decimal number 142 to binary, we can use the division-by-2 method. To convert binary to decimal, we multiply each digit by the corresponding power of 2 and sum the results.Converting 142 to Binary 1. Divide 142 by 2: ◦ 142 ÷ 2 = 71, remainder 0 2. Divide 71 by 2: ◦ 71 ÷ 2 = 35, remainder 1 3. Divide 35 by 2: ◦ 35 ÷ 2 = 17, remainder 1 4. Divide 17 by 2: ◦ 17 ÷ 2 = 8, remainder 1 5. Divide 8 by 2: ◦ 8 ÷ 2 = 4, remainder 0 6. Divide 4 by 2: ◦ 4 ÷ 2 = 2, remainder 0 7. Divide 2 by 2: ◦ 2 ÷ 2 = 1, remainder 0 8. Divide 1 by 2: ◦ 1 ÷ 2 = 0, remainder 1Reading the remainders from bottom to top, we get the binary representation: 10001110.So, 142 in decimal is 10001110 in binary.Converting Binary to DecimalYou didn't provide the binary number to convert to decimal. However, I will provide the method.Each position in a binary number represents a power of 2, starting from 2^0 on the rightmost digit.For example, let's convert the binary number 101101 to decimal:101101_2 = (1 \times 2^5) + (0 \times 2^4) + (1 \times 2^3) + (1 \times 2^2) + (0 \times 2^1) + (1 \times 2^0)= (1 \times 32) + (0 \times 16) + (1 \times 8) + (1 \times 4) + (0 \times 2) + (1 \times 1)= 32 + 0 + 8 + 4 + 0 + 1= 45_{10}Therefore, the binary number 101101 is equal to 45 in decimal.Hope this helps!
