An electric device delivers a current of [tex]$15.0 A$[/tex] for 30 seconds. How many electrons flow through it?

To calculate the number of electrons flowing through the device, we first determine the total charge using the current and time, which is 450.0 Coulombs. Given the charge of one electron is − 1.6 × 1 0 − 19 Coulombs, we find that approximately 2.81 × 1 0 21 electrons flow through the device in 30 seconds.
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Answered by Anonymous | 2025-07-04

To solve this problem, we will address the two main parts:

Add 10010110₂ + 01110011₂ in Binary Coded Decimal (BCD):
First, let's understand what Binary Coded Decimal (BCD) is. BCD represents each decimal digit with its binary equivalent. In BCD, each digit of a decimal number is represented by a four-bit binary sequence.
a. Convert each binary number to decimal to make sure they're correct for BCD:

10010110₂:

Split: 1001 (9) and 0110 (6)
Decimal: 96


01110011₂:

Split: 0111 (7) and 0011 (3)
Decimal: 73



Now, add the decimals: 96 + 73 = 169.
b. Convert the sum back to BCD:

169 in decimal is split into digits: 1, 6, and 9.
Binary for 1: 0001
Binary for 6: 0110
Binary for 9: 1001

Thus, 169 in BCD is 0001 0110 1001.

Convert 100110110₂ to Gray code:
Gray code is a binary numbering system where two successive values differ in only one bit. To convert a binary number to Gray code:
a. Write the original binary number: 100110110₂.
b. Copy the leftmost bit as it is. It becomes the first bit of the Gray code.
c. For each subsequent bit, XOR the previous bit (of the original binary) with the current bit.
Let's do this for 100110110₂:

Original: 1 0 0 1 1 0 1 1 0
Gray Code First bit: 1 (same as original)
1 XOR 0 = 1
0 XOR 0 = 0
0 XOR 1 = 1
1 XOR 1 = 0
1 XOR 0 = 1
0 XOR 1 = 1
1 XOR 1 = 0
1 XOR 0 = 1

Thus, 100110110₂ is converted to Gray code 110101101.


In summary, the BCD addition of 10010110₂ and 01110011₂ results in 0001 0110 1001. The binary number 100110110₂ converts to Gray code 110101101. This problem involves concepts from digital electronics, often covered in high school computers and technology courses.

Answered by OliviaLunaGracy | 2025-07-06